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<h3 class="heading"><span class="type">Paragraph</span></h3>
<p>Consider</p>
<div class="displaymath process-math" data-contains-math-knowls="">
\begin{equation*}
y^{(n)}=F(t, y, y^{\prime}, \cdots, y^{(n-1)}),
\end{equation*}
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<p class="continuation">where <span class="process-math">\(t\)</span> is the variable and <span class="process-math">\(y\)</span> is the unknown. Introduce</p>
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\begin{equation*}
x_1=y,\quad x_2=y^{\prime}, x_3=y^{\prime \prime},\cdots x_{n-1}=y^{(n-2)}, x_n=y^{(n-1)}.
\end{equation*}
</div>
<p class="continuation">Then</p>
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\begin{equation*}
\begin{aligned}
&amp;x_1^{\prime}=x_2,\\
&amp;x_2^{\prime}=x_3,\\
&amp;\cdots,\\
&amp;x_{n-1}^{\prime}=x_n,\\
&amp;x_n^{\prime}=F(t, x_1, x_2, \cdots, x_n).
\end{aligned}
\end{equation*}
</div>
<span class="incontext"><a href="sec6_1.html#p-246" class="internal">in-context</a></span>
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